Question : Which of the following numbers is not divisible by 6?
(i) 1,97,232
(ii) 9,72,132
(iii) 8,00,552
(iv) 17,90,184
Option 1: (i)
Option 2: (iii)
Option 3: (iv)
Option 4: (ii)
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Correct Answer: (iii)
Solution :
A number is divisible by 6 if it is divisible by 2 and 3.
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
A number is divisible by 3 if the sum of its digits is divisible by 3.
(i) 1,97,232
The last digit is 2 (an even number), divisible by 2. The sum of the digits is 24, which is divisible by 3. So, 1,97,232 is divisible by 6.
(ii) 9,72,132
The last digit is 2 (an even number), divisible by 2. The sum of the digits is 24, which is divisible by 3. So, 9,72,132 is divisible by 6.
(iii) 8,00,552
The last digit is 2 (an even number), divisible by 2. The sum of the digits is 22, which is not divisible by 3. So, 8,00,552 is NOT divisible by 6.
(iv) 17,90,184
The last digit is 4 (an even number), divisible by 2. The sum of the digits is 30, which is divisible by 3. So, 17,90,184 is divisible by 6.
Hence, the correct answer is (iii).
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